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Diffstat (limited to 'src/main/java/org/apache/commons/math/linear/FieldVector.java')
-rw-r--r-- | src/main/java/org/apache/commons/math/linear/FieldVector.java | 358 |
1 files changed, 358 insertions, 0 deletions
diff --git a/src/main/java/org/apache/commons/math/linear/FieldVector.java b/src/main/java/org/apache/commons/math/linear/FieldVector.java new file mode 100644 index 0000000..c68281b --- /dev/null +++ b/src/main/java/org/apache/commons/math/linear/FieldVector.java @@ -0,0 +1,358 @@ +/* + * Licensed to the Apache Software Foundation (ASF) under one or more + * contributor license agreements. See the NOTICE file distributed with + * this work for additional information regarding copyright ownership. + * The ASF licenses this file to You under the Apache License, Version 2.0 + * (the "License"); you may not use this file except in compliance with + * the License. You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ +package org.apache.commons.math.linear; + +import org.apache.commons.math.Field; +import org.apache.commons.math.FieldElement; + +/** + * Interface defining a field-valued vector with basic algebraic operations. + * <p> + * vector element indexing is 0-based -- e.g., <code>getEntry(0)</code> + * returns the first element of the vector. + * </p> + * <p> + * The various <code>mapXxx</code> and <code>mapXxxToSelf</code> methods operate + * on vectors element-wise, i.e. they perform the same operation (adding a scalar, + * applying a function ...) on each element in turn. The <code>mapXxx</code> + * versions create a new vector to hold the result and do not change the instance. + * The <code>mapXxxToSelf</code> versions use the instance itself to store the + * results, so the instance is changed by these methods. In both cases, the result + * vector is returned by the methods, this allows to use the <i>fluent API</i> + * style, like this: + * </p> + * <pre> + * RealVector result = v.mapAddToSelf(3.0).mapTanToSelf().mapSquareToSelf(); + * </pre> + * + * @param <T> the type of the field elements + * @version $Revision: 811786 $ $Date: 2009-09-06 11:36:08 +0200 (dim. 06 sept. 2009) $ + * @since 2.0 + */ +public interface FieldVector<T extends FieldElement<T>> { + + /** + * Get the type of field elements of the vector. + * @return type of field elements of the vector + */ + Field<T> getField(); + + /** + * Returns a (deep) copy of this. + * @return vector copy + */ + FieldVector<T> copy(); + + /** + * Compute the sum of this and v. + * @param v vector to be added + * @return this + v + * @throws IllegalArgumentException if v is not the same size as this + */ + FieldVector<T> add(FieldVector<T> v) + throws IllegalArgumentException; + + /** + * Compute the sum of this and v. + * @param v vector to be added + * @return this + v + * @throws IllegalArgumentException if v is not the same size as this + */ + FieldVector<T> add(T[] v) + throws IllegalArgumentException; + + /** + * Compute this minus v. + * @param v vector to be subtracted + * @return this + v + * @throws IllegalArgumentException if v is not the same size as this + */ + FieldVector<T> subtract(FieldVector<T> v) + throws IllegalArgumentException; + + /** + * Compute this minus v. + * @param v vector to be subtracted + * @return this + v + * @throws IllegalArgumentException if v is not the same size as this + */ + FieldVector<T> subtract(T[] v) + throws IllegalArgumentException; + + /** + * Map an addition operation to each entry. + * @param d value to be added to each entry + * @return this + d + */ + FieldVector<T> mapAdd(T d); + + /** + * Map an addition operation to each entry. + * <p>The instance <strong>is</strong> changed by this method.</p> + * @param d value to be added to each entry + * @return for convenience, return this + */ + FieldVector<T> mapAddToSelf(T d); + + /** + * Map a subtraction operation to each entry. + * @param d value to be subtracted to each entry + * @return this - d + */ + FieldVector<T> mapSubtract(T d); + + /** + * Map a subtraction operation to each entry. + * <p>The instance <strong>is</strong> changed by this method.</p> + * @param d value to be subtracted to each entry + * @return for convenience, return this + */ + FieldVector<T> mapSubtractToSelf(T d); + + /** + * Map a multiplication operation to each entry. + * @param d value to multiply all entries by + * @return this * d + */ + FieldVector<T> mapMultiply(T d); + + /** + * Map a multiplication operation to each entry. + * <p>The instance <strong>is</strong> changed by this method.</p> + * @param d value to multiply all entries by + * @return for convenience, return this + */ + FieldVector<T> mapMultiplyToSelf(T d); + + /** + * Map a division operation to each entry. + * @param d value to divide all entries by + * @return this / d + */ + FieldVector<T> mapDivide(T d); + + /** + * Map a division operation to each entry. + * <p>The instance <strong>is</strong> changed by this method.</p> + * @param d value to divide all entries by + * @return for convenience, return this + */ + FieldVector<T> mapDivideToSelf(T d); + + /** + * Map the 1/x function to each entry. + * @return a vector containing the result of applying the function to each entry + */ + FieldVector<T> mapInv(); + + /** + * Map the 1/x function to each entry. + * <p>The instance <strong>is</strong> changed by this method.</p> + * @return for convenience, return this + */ + FieldVector<T> mapInvToSelf(); + + /** + * Element-by-element multiplication. + * @param v vector by which instance elements must be multiplied + * @return a vector containing this[i] * v[i] for all i + * @throws IllegalArgumentException if v is not the same size as this + */ + FieldVector<T> ebeMultiply(FieldVector<T> v) throws IllegalArgumentException; + + /** + * Element-by-element multiplication. + * @param v vector by which instance elements must be multiplied + * @return a vector containing this[i] * v[i] for all i + * @throws IllegalArgumentException if v is not the same size as this + */ + FieldVector<T> ebeMultiply(T[] v) throws IllegalArgumentException; + + /** + * Element-by-element division. + * @param v vector by which instance elements must be divided + * @return a vector containing this[i] / v[i] for all i + * @throws IllegalArgumentException if v is not the same size as this + */ + FieldVector<T> ebeDivide(FieldVector<T> v) throws IllegalArgumentException; + + /** + * Element-by-element division. + * @param v vector by which instance elements must be divided + * @return a vector containing this[i] / v[i] for all i + * @throws IllegalArgumentException if v is not the same size as this + */ + FieldVector<T> ebeDivide(T[] v) throws IllegalArgumentException; + + /** + * Returns vector entries as a T array. + * @return T array of entries + */ + T[] getData(); + + /** + * Compute the dot product. + * @param v vector with which dot product should be computed + * @return the scalar dot product between instance and v + * @exception IllegalArgumentException if v is not the same size as this + */ + T dotProduct(FieldVector<T> v) + throws IllegalArgumentException; + + /** + * Compute the dot product. + * @param v vector with which dot product should be computed + * @return the scalar dot product between instance and v + * @exception IllegalArgumentException if v is not the same size as this + */ + T dotProduct(T[] v) + throws IllegalArgumentException; + + /** Find the orthogonal projection of this vector onto another vector. + * @param v vector onto which instance must be projected + * @return projection of the instance onto v + * @throws IllegalArgumentException if v is not the same size as this + */ + FieldVector<T> projection(FieldVector<T> v) + throws IllegalArgumentException; + + /** Find the orthogonal projection of this vector onto another vector. + * @param v vector onto which instance must be projected + * @return projection of the instance onto v + * @throws IllegalArgumentException if v is not the same size as this + */ + FieldVector<T> projection(T[] v) + throws IllegalArgumentException; + + /** + * Compute the outer product. + * @param v vector with which outer product should be computed + * @return the square matrix outer product between instance and v + * @exception IllegalArgumentException if v is not the same size as this + */ + FieldMatrix<T> outerProduct(FieldVector<T> v) + throws IllegalArgumentException; + + /** + * Compute the outer product. + * @param v vector with which outer product should be computed + * @return the square matrix outer product between instance and v + * @exception IllegalArgumentException if v is not the same size as this + */ + FieldMatrix<T> outerProduct(T[] v) + throws IllegalArgumentException; + + /** + * Returns the entry in the specified index. + * <p> + * The index start at 0 and must be lesser than the size, + * otherwise a {@link MatrixIndexException} is thrown. + * </p> + * @param index index location of entry to be fetched + * @return vector entry at index + * @throws MatrixIndexException if the index is not valid + * @see #setEntry(int, FieldElement) + */ + T getEntry(int index) + throws MatrixIndexException; + + /** + * Set a single element. + * @param index element index. + * @param value new value for the element. + * @exception MatrixIndexException if the index is + * inconsistent with vector size + * @see #getEntry(int) + */ + void setEntry(int index, T value) + throws MatrixIndexException; + + /** + * Returns the size of the vector. + * @return size + */ + int getDimension(); + + /** + * Construct a vector by appending a vector to this vector. + * @param v vector to append to this one. + * @return a new vector + */ + FieldVector<T> append(FieldVector<T> v); + + /** + * Construct a vector by appending a T to this vector. + * @param d T to append. + * @return a new vector + */ + FieldVector<T> append(T d); + + /** + * Construct a vector by appending a T array to this vector. + * @param a T array to append. + * @return a new vector + */ + FieldVector<T> append(T[] a); + + /** + * Get a subvector from consecutive elements. + * @param index index of first element. + * @param n number of elements to be retrieved. + * @return a vector containing n elements. + * @exception MatrixIndexException if the index is + * inconsistent with vector size + */ + FieldVector<T> getSubVector(int index, int n) + throws MatrixIndexException; + + /** + * Set a set of consecutive elements. + * @param index index of first element to be set. + * @param v vector containing the values to set. + * @exception MatrixIndexException if the index is + * inconsistent with vector size + * @see #setSubVector(int, FieldElement[]) + */ + void setSubVector(int index, FieldVector<T> v) + throws MatrixIndexException; + + /** + * Set a set of consecutive elements. + * @param index index of first element to be set. + * @param v vector containing the values to set. + * @exception MatrixIndexException if the index is + * inconsistent with vector size + * @see #setSubVector(int, FieldVector) + */ + void setSubVector(int index, T[] v) + throws MatrixIndexException; + + /** + * Set all elements to a single value. + * @param value single value to set for all elements + */ + void set(T value); + + /** + * Convert the vector to a T array. + * <p>The array is independent from vector data, it's elements + * are copied.</p> + * @return array containing a copy of vector elements + */ + T[] toArray(); + +} |